77085400 has 48 divisors (see below), whose sum is σ = 204830640. Its totient is φ = 26428800.

The previous prime is 77085391. The next prime is 77085401. The reversal of 77085400 is 458077.

It is a happy number.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77085401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26131 + ... + 28930.

It is an arithmetic number, because the mean of its divisors is an integer number (4267305).

Almost surely, 2^77085400 is an apocalyptic number.

77085400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

77085400 is an abundant number, since it is smaller than the sum of its proper divisors (127745240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

77085400 is a wasteful number, since it uses less digits than its factorization.

77085400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55084 (or 55075 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 31.

The square root of 77085400 is about 8779.8291555132. The cubic root of 77085400 is about 425.5893093542.

The spelling of 77085400 in words is "seventy-seven million, eighty-five thousand, four hundred".